Fraction Calculator
Add, subtract, multiply, divide, and simplify fractions instantly
Calculator
Enter two fractions and select an operation.
About the Fraction Calculator
The Fraction Calculator helps you quickly perform essential fraction operations including addition, subtraction, multiplication, and division. It also automatically simplifies fractions and provides their decimal equivalents. This tool is ideal for students, teachers, engineers, and anyone who works with fractional numbers and mathematical expressions.
What You Can Calculate
- Simplified Fraction: Automatically reduces the result to its lowest terms.
- Decimal Value: Converts the simplified fraction into a decimal approximation.
- Step-by-Step Process: Shows how the numerator and denominator are combined based on the chosen operation.
- All Basic Fraction Operations: Add, subtract, multiply, and divide fractions instantly.
Formulas Used in the Calculator
The calculator uses standard arithmetic rules for fraction operations:
- Add Fractions: (a/b) + (c/d) = (ad + bc) / bd
- Subtract Fractions: (a/b) − (c/d) = (ad − bc) / bd
- Multiply Fractions: (a/b) × (c/d) = (ac) / (bd)
- Divide Fractions: (a/b) ÷ (c/d) = (a × d) / (b × c)
- Simplification: The fraction is reduced using the greatest common divisor (GCD).
How to Use the Calculator
- Enter the numerator and denominator for the first fraction.
- Choose an operation (add, subtract, multiply, or divide).
- Enter the values for the second fraction.
- The calculator instantly displays the simplified fraction and its decimal form.
Applications of Fraction Calculations
Understanding and manipulating fractions is essential in mathematics, engineering, finance, science, and everyday problem-solving. This calculator is especially useful for homework, exam preparation, measurements, ratio calculations, and converting fractional values for technical or analytical work.